A NUMERICAL METHOD FOR SOLVING A TWO-DIMENSIONAL DIFFUSION EQUATION WITH NON LOCAL BOUNDARY CONDITIONS

Auteurs-es

  • A CHENIGUEL Larbi ben mhidi University, Oum-Elbouaghi

Mots-clés :

decomposition method, non local boundary conditions, partial differential equations, Analytic solution

Résumé

This paper is devoted to the decomposition method which is applied to solve problems with non local boundary conditions. The analytic solution of the problem is calculated in a series form with easily computable components. The comparison of   the methodology with some known techniques shows that the present approach is powerful, efficient and reliable.

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Biographie de l'auteur-e

A CHENIGUEL, Larbi ben mhidi University, Oum-Elbouaghi

Department of mathematics and computer science, Faculty of sciences

Références

M.Siddique, “Numerical Computatinal of Two-dimensional Diffusion Equation with Nonlocal Boundary Conditions,” IAENG international journal of applied mathematics, 40:1, IJAM_40_1_04

G.Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluver Academic Publishers, Boston 1994.

G.Adomian and R.Rach, “Noise Terms in Decomposition Solution series,” Computers Math. Appl, 24(11) (1992),61-4.

G. Adomian, “A review of The decomposition Method in Applied Mathematics,” J.Math.Anal.Appl, 135 (1988),501-544.

A.M.Wazwaz, “Necessary Conditions for The appearance of Noise Terms in Decomposition Solution Series,” J.Math.Anal.Appl. 5 (1997),265-274.

Cannon,J.R ,Y.Lin and S.Wang. "An Implicit Finite Difference Scheme for the Diffusion Equation Subject to Mass Specification",Int.J.Eng.Sci.28 (1990),573-578.

Cannon;J.R and Van der Hoek, J. “Diffusion equation Subject to the Specification of Mass,” J.Math.Anal.Appl., 115.pp.517-529,1986.

Capsso,V. and Kunish, K.A, “ reaction Diffusion stem Arising in Modeling Man-Environment Diseases,” Q.Appl.Math.46, pp 431-439.1988

Day.W.A, “Existence of A property of Solutions of The heat to Linear Thermoelasticity And other Theories,” Quart.Appl.Math. 40, pp.319- 330,1982.

Wang.S. “A numerical Method for The heat Conduction Subject to Moving Boundary Energy Specification,” Intern.J.Engng.Sci, 28, 543-546, 1991

Noye,B.J. and Hayman, K.J.Explicit, “Two Level Finite Difference Methods for the Two-Dimensional Diffusion Equation,” Intern. J. Computr. Math.42, pp.223-236.1992

Wang.S. and Lin.Y.,A Finite Difference Solution to An Inverse Problem Determining a Controlling Function in a Parabolic Partial Differential Equation. Inverse Problems.5.pp.631-640.

B.A.Wade, A.Q.M.Khaliq ,M.Siddique and M.Yousuf, "Smoothing with Positivity-Preserving Padè Schemes for Parabolic Problems with Non Smooth Data", Numerical Methods for Partial Differential Equations (NMPDE),Wiley Interscience;V.21.No 3.2005,pp.553- 573.

B.A.Wade,A.Q.M.Khaliq,M.Yousuf and J.Vigo-Aguiar" High-Order Smoothing Schemes For Inhomogeneous Parabolic problems with Application to Non smooth Payoff In option Pricing" Numerical Methods for Partial Differential Equations (NMPDE) V.23(5).2007,1249-1276. 10

A.B.Gumel,W.T.Ang And F.H.Twizell."Efficient Parallel Algo rithm for The Two-Dimensional Diffusion Equation Subject to Specification of Mass" Intern. J. Computer Math. Vol 64,p 153-163 (1997).

G.D.Smith, "Numerical Solution for Partial Differential Equa- tions Finite Difference Methods", Third Edition, Oxford University Press, New york (1985).

A.Q.M.Khaliq,E.H.Twizell And D.A.Voss."On Parallel Algorithm for Sem-discretized Parabolic Partial Differential Equations Based On Subdiagonal Padè Approximation" (NMPDE),Wiley Interscience.9.107-116 (1993).

P.Marcati,Some Considerations ON the Mathematical Approach to Nonlinear Age Dependent Population Dynamics, Computers Math.Applie.9 (3) 361-370 (1983).

Y.Lin And S.Wang."A Numerical Method for the Diffusion Equation with Nonlocal Boundary Conditions"Int.J.Eng.Sci.28 (1990),543-546.

M.Siddique."A Comparison of Third-Order the Diffusion Equation L0-Stable numerical Schemes for the Two-Dimensional Homogeneous Diffusion Problem Subject to Specification of Mass" Applied Mathematical Sciences.Vol.4.2010.No.13.611-621.

M.Siddique."Smoothing of Crank-Nicolson Schemes for the Two-Dimensional Diffusion with an Integral Condition" Applied Mathematics and Computation. 214.2009.512-522.

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Publié-e

2011-06-01

Comment citer

CHENIGUEL, A. (2011). A NUMERICAL METHOD FOR SOLVING A TWO-DIMENSIONAL DIFFUSION EQUATION WITH NON LOCAL BOUNDARY CONDITIONS. Sciences & Technologie. A, Sciences Exactes, (33), 19–24. Consulté à l’adresse https://revue.umc.edu.dz/a/article/view/1920

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